A. F. Vasil'ev, T. I. Vasil'eva, K. L. Parfiankou, “On finite groups with given triple factorization”, PFMT, 2017, Issue 3(32),Pages <nobr>43

MATHEMATICS

On finite groups with given triple factorization

A. F. Vasil'ev^a, T. I. Vasil'eva^ab, K. L. Parfiankou^a

^a F. Scorina Gomel State University
^b Belarusian State University of Transport, Gomel

Abstract: Finite groups having three subgroups with pairwise relatively prime indices are studied. In particular, the structure of a group is established with such subgroups that are supersoluble, have a nilpotent commutator subgroup, and so on.

Keywords: finite group, supersoluble group, hereditary saturated formation, $\mathfrak{F}$-subnormal subgroup.

UDC: 512.542

Received: 20.03.2017